Least Common Multiple of 273/755, 181/812, 798/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 273/755, 181/812, 798/462 quickly i.e. 1877694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/755, 181/812, 798/462 is 1877694.

LCM(273/755, 181/812, 798/462) = 1877694

LCM of 273/755, 181/812, 798/462

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 273/755,181/812,798/462

Given numbers are 273/755,181/812,798/462

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 273,181,798

Least Common Multiple of Numerators i.e. LCM of 273,181,798 is 1877694.

GCF of Denominators means GCF of 755,812,462 as per the given fractions.

GCF of 755,812,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,181,798

LCM of Fractions 273/755,181/812,798/462 is 1877694

3 273, 181, 798
7 91, 181, 266
13, 181, 38

∴ So the LCM of the given numbers is 3 x 7 x 13 x 181 x 38 = 1877694

Least Common Multiple of 273,181,798 with GCF Formula

Least Common Multiple of 273,181,798 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 273,181,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,181,798) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(273,181,798) x common factors =1 x 21 = 21

LCM(273,181,798) = ( 273 × 181 × 798 ) / 21

LCM(273,181,798) = 39431574 / 21

LCM(273,181,798) = 1877694


Lets's calculate GCF of 755,812,462

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1877694/1

Therefore the LCM of Fractions 273/755,181/812,798/462 is 1877694

Greatest Common Factor of 755,812,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,812,462 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 755,812,462 . The biggest common factor number is the GCF number.
So the greatest common factor 755,812,462 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 273/755, 181/812, 798/462

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 273/755, 181/812, 798/462?

Answer: LCM of Numerators as per given numbers 273/755, 181/812, 798/462 is

LCM of Numerators i.e. for 273,181,798 is 1877694

GCF of denominators i.e. for 755,812,462 is 1.

Thus, LCM of Fractions is 1877694.Finally, LCM of Fractions for 273/755, 181/812, 798/462 is 1877694.